Hammers boss David Moyes will be desperate to add some real quality to his squad this month, with his side currently looking nervously over their shoulders at the drop zone.
West Ham currently sit in 15th position in the Premier League table, just two points clear of 18th placed Stoke City, and an injection of genuine quality will be required, if they are to achieve a successful campaign.
One particular area where Moyes wants to strengthen is central midfield, and the Daily Mail claim that Gunners ace Francis Coquelin features highly on the Scot's wish-list.
The Frenchman would be a totally underwhelming signing for the Hammers, however, what with his limited passing ability and his reckless approach to the game.
Would West Ham be better served in moving for Coquelin's teammate Mohamed Elneny?
The 25-year-old Egyptian is another Arsenal star who is on the fringes of the first-team at the Emirates, but he still has a lot to offer at the very highest level.
He possesses fantastic stamina levels, and is a competent passer of the football. He is also more disciplined than Coquelin, and is accomplished at playing the holding midfield role.
Elneny joined the Gunners from Basel in January 2016, for a fee believed to be worth in the region of £5 million, and considering the peripheral role that he has played for them since then, Arsene Wenger would surely be tempted into selling, should West Ham come in with a decent offer for the midfielder.
Whilst the Arsenal man wouldn't exactly be the most exciting of signings for the Hammers, he possesses the kind of attributes that they undoubtedly are short of in the middle of the park, and his passing ability would definitely make them tick as a team.
With the January transfer window now open, this will certainly be one for West Ham fans to keep a close eye on.